How to Find GCF of 776/55, 768/355?

GCF of 776/55, 768/355

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 776/55, 768/355 i.e 8/3905 easily. The following is the detailed procedure to determine the greatest common factor of fractions 776/55, 768/355.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 776/55,768/355?

Given fractions are 776/55,768/355

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 776/55,768/355, numerators are 776,768

Denominators are 55,355

The GCF of 776,768 is 8 .

LCM of 55,355 is 3905.

The greatest common factor of 776/55,768/355 = [GCF of 776,768]/[LCM of 55,355]= 8/3905

Therefore, the GCF of 776/55,768/355 is 8/3905.

Greatest Common Factor of 776,768

To find the highest common factor of 776,768, we have to find the factors of both numbers and list the highest common factor.

The factors of 776 are 1, 2, 4, 8, 97, 194, 388, 776

The factors of 768 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

The HCF of 776,768 is 8.

Lets's calculate GCF of 776,768

Greatest Common Factor (GCF) of 776,768 By Common Division

2	776, 768
2	388, 384
2	194, 192
	97, 96

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 776,768 By Matching Biggest Common Factor Method

Now, list down the factors of 776

1,2,4,8,97,194,388,776

Now, list down the factors of 768

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Greatest Common Factor

We found the factors 776,768 . The biggest common factor number is the GCF number.
So the greatest common factor 776,768 is 8.

Lets's calculate LCM of 55,355

Lowest Common Multiple of 55,355 using Common Division

5	55, 355
	11, 71

∴ So the LCM of the given numbers is 5 x 11 x 71 = 3905

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/3905

Therefore, the GCF of Fractions 776/55,768/355 is 8/3905

Least Common Multiple of 55,355 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 55,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,355) = 5

common factors(in case of two or more numbers have common factors) = 1

GCF(55,355) x common factors =5 x 1 = 5

LCM(55,355) = ( 55 × 355 ) / 5

LCM(55,355) = 19525 / 5

LCM(55,355) = 3905

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FAQs on GCF of Fractions of 776/55, 768/355

1. What is the HCF of 776,768?

The HCF of 776,768 is 8

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 776/55, 768/355?

Answer: GCF of Numerators as per given numbers 776/55, 768/355 is

GCF of Numerators i.e. for 776,768 is 8

LCM of denominators i.e. for 55,355 is 3905.

Thus, GCF of Fractions is 8/3905.Finally, GCF of Fractions for 776/55, 768/355 is 8/3905.